What Is Mean by **Linear** and **Non-Linear** Data Structure?

Data structures are an essential part of computer science and programming. They allow us to store, organize, and manipulate data efficiently. Two common types of data structures are **linear** and **non-linear** data structures.

__Linear Data Structures__

A linear data structure is a collection of elements where each element is connected to its previous and next element in a sequential manner. In other words, the elements are stored in a linear order, one after another.

**List of Linear Data Structures:**

**Array:**An array is a fixed-size collection of elements that are stored in contiguous memory locations. Elements can be accessed using their index.**Linked List:**A linked list consists of nodes where each node contains both the data and a reference to the next node.It allows dynamic memory allocation.

**Stack:**A stack follows the Last-In-First-Out (LIFO) principle. Elements can be added or removed only from one end called the top.**Queue:**A queue follows the First-In-First-Out (FIFO) principle. Elements can be added from one end called the rear and removed from the other end called the front.

__Non-Linear Data Structures__

A non-linear data structure is a collection of elements where each element can be connected to multiple other elements in different ways. There is no sequential order among the elements.

**List of Non-Linear Data Structures:**

**Tree:**A tree is a hierarchical data structure consisting of nodes connected by edges. It has a root node and each node can have one or more child nodes.**Graph:**A graph is a collection of vertices and edges, where vertices represent entities and edges represent relationships between those entities. It can be directed or undirected.

__Difference Between Linear and Non-Linear Data Structures__

The main difference between linear and non-linear data structures lies in the way the elements are connected to each other. In linear data structures, the elements are connected in a sequential manner, whereas in non-linear data structures, the elements can be connected in multiple ways.

In terms of memory allocation, linear data structures have fixed memory requirements, while non-linear data structures require dynamic memory allocation.

Another difference is their traversal methods. Linear data structures can be traversed sequentially using loops, while non-linear data structures may require specific algorithms for traversal, such as depth-first search (DFS) or breadth-first search (BFS).

In conclusion, understanding the difference between linear and non-linear data structures is crucial for designing efficient algorithms and solving complex problems. Both types have their own advantages and use cases, so it’s important to choose the appropriate data structure based on the requirements of your application.